Answer:
5.61 years
Explanation:
Let the Present value be 'x'
Data provided in the question:
Future value =
Inflation rate, i = 5% = 0.05
Now,
Using the compounding
let number of years be n
thus,
Future value = Present value × [ 1 - inflation rate ]ⁿ
= x × (1 - 0.05)ⁿ
or
0.75 = 0.95ⁿ
on taking log on both the sides , we get
or
log(0.75) = n × log(0.95)
or
-0.125 = n × (-0.0223)
or
n = 5.61 years
or, n = 11.89 years
Answer:
correct answer is c. You both have the same amount of money
Explanation:
given data
invest = $1000
pay compound interest = 10%
pay simple interest = 10%
time = 1 year
solution
we get here difference in the total amount that is your friend money - your money .................1
so difference in the total amount = invest × - [ invest + ( invest × rate × time) ] ......................2
put here value
difference in the total amount = $1000 × - [$1000 + ( 1000 × 10% × 1) ]
difference in the total amount = 0
so correct answer is c. You both have the same amount of money